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Finding the Fourth Proportional to 13,805.26, 19,052.13 and 7,834.66

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Solution

The fourth proportional to 13,805.26, 19,052.13 and 7,834.66 is: 10,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.26 : 19,052.13 = 7,834.66 : x
  2. Step 2: Convert to fraction form
    13,805.26/19,052.13 = 7,834.66/x
  3. Step 3: Cross multiply
    13,805.26x = 19,052.13 × 7,834.66
  4. Step 4: Simplify right side
    13,805.26x = 149,266,960.83
  5. Step 5: Solve for x
    x = 149,266,960.83/13,805.26
  6. Step 6: Final answer
    x = 10,812.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.